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- W4385436260 abstract "This study deals with the Ulam stability of non-autonomous linear differential systems without assuming the condition that they admit an exponential dichotomy. In particular, the best (minimal) Ulam constants for two-dimensional non-autonomous linear differential systems with generalized Jordan normal forms are derived. The obtained results are applicable not only to systems with solutions that exist globally on $(-infty,infty)$, but also to systems with solutions that blow up in finite time. New results are included even for constant coefficients. A wealth of examples are presented, and approximations of node, saddle, and focus are proposed. In addition, this is the first study to derive the best Ulam constants for non-autonomous systems other than periodic systems." @default.
- W4385436260 created "2023-08-01" @default.
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- W4385436260 date "2023-07-27" @default.
- W4385436260 modified "2023-10-16" @default.
- W4385436260 title "Best Ulam constants for two-dimensional non-autonomous linear differential systems" @default.
- W4385436260 doi "https://doi.org/10.48550/arxiv.2307.15102" @default.
- W4385436260 hasPublicationYear "2023" @default.
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